{"id":5456,"date":"2014-04-26T06:00:47","date_gmt":"2014-04-25T21:00:47","guid":{"rendered":"http:\/\/fujiitoshiki.com\/improvesociety\/?p=5456"},"modified":"2014-09-10T16:32:26","modified_gmt":"2014-09-10T07:32:26","slug":"post-5456","status":"publish","type":"post","link":"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=5456","title":{"rendered":"\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb"},"content":{"rendered":"<div class=\"theContentWrap-ccc\"><p>\u3000 <img src='https:\/\/s0.wp.com\/latex.php?latex=+A+%3D+%28a_%7Bjk%7D%29+&#038;bg=T&#038;fg=000000&#038;s=0' alt=' A = (a_{jk}) ' title=' A = (a_{jk}) ' class='latex' \/> \u3092 <img src='https:\/\/s0.wp.com\/latex.php?latex=+n+%5Ctimes+n+&#038;bg=T&#038;fg=000000&#038;s=0' alt=' n \\times n ' title=' n \\times n ' class='latex' \/> \u884c\u5217\u3068\u3057 <img src='https:\/\/s0.wp.com\/latex.php?latex=X&#038;bg=T&#038;fg=000000&#038;s=0' alt='X' title='X' class='latex' \/> \u3092\u5217\u30d9\u30af\u30c8\u30eb\u3068\u3057\u307e\u3057\u3087\u3046\uff0e\u4ee5\u4e0b\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=AX+%3D+%5Clambda+X+%5Ccdots+%2821%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='AX = \\lambda X \\cdots (21)' title='AX = \\lambda X \\cdots (21)' class='latex' \/><\/p>\n<p>\u3053\u3053\u3067 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Clambda&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\lambda' title='\\lambda' class='latex' \/> \u306f\u6570\u3067\u3042\u308a\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a18\u8ff0\u3067\u304d\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle++++%5Cleft%28+%5Cbegin%7Barray%7D%7Bcccc%7D+a_%7B11%7D+%26+a_%7B12%7D+%26+%5Ccdots+%26+a_%7B1n%7D+%5C%5C+a_%7B21%7D+%26+a_%7B22%7D+%26+%5Ccdots+%26+a_%7B2n%7D+%5C%5C+%5Ccdots+%26+%5Ccdots+%26+%5Ccdots+%26+%5Ccdots+%5C%5C+a_%7Bn1%7D+%26+a_%7Bn2%7D+%26+%5Ccdots+%26+a_%7Bnn%7D+%5Cend%7Barray%7D+%5Cright%29++++%5Cleft%28+%5Cbegin%7Barray%7D%7Bc%7D+x_1+%5C%5C+x_2+%5C%5C+%5Ccdots+%5C%5C+x_n+%5Cend%7Barray%7D+%5Cright%29+%3D++++%5Clambda%5Cleft%28+%5Cbegin%7Barray%7D%7Bc%7D+x_1+%5C%5C+x_2+%5C%5C+%5Ccdots+%5C%5C+x_n+%5Cend%7Barray%7D+%5Cright%29+%5Ccdots+%2822%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle    \\left( \\begin{array}{cccc} a_{11} &amp; a_{12} &amp; \\cdots &amp; a_{1n} \\\\ a_{21} &amp; a_{22} &amp; \\cdots &amp; a_{2n} \\\\ \\cdots &amp; \\cdots &amp; \\cdots &amp; \\cdots \\\\ a_{n1} &amp; a_{n2} &amp; \\cdots &amp; a_{nn} \\end{array} \\right)    \\left( \\begin{array}{c} x_1 \\\\ x_2 \\\\ \\cdots \\\\ x_n \\end{array} \\right) =    \\lambda\\left( \\begin{array}{c} x_1 \\\\ x_2 \\\\ \\cdots \\\\ x_n \\end{array} \\right) \\cdots (22)' title='\\displaystyle    \\left( \\begin{array}{cccc} a_{11} &amp; a_{12} &amp; \\cdots &amp; a_{1n} \\\\ a_{21} &amp; a_{22} &amp; \\cdots &amp; a_{2n} \\\\ \\cdots &amp; \\cdots &amp; \\cdots &amp; \\cdots \\\\ a_{n1} &amp; a_{n2} &amp; \\cdots &amp; a_{nn} \\end{array} \\right)    \\left( \\begin{array}{c} x_1 \\\\ x_2 \\\\ \\cdots \\\\ x_n \\end{array} \\right) =    \\lambda\\left( \\begin{array}{c} x_1 \\\\ x_2 \\\\ \\cdots \\\\ x_n \\end{array} \\right) \\cdots (22)' class='latex' \/><\/p>\n<p>\u3042\u308b\u3044\u306f<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cleft.+%5Cbegin%7Barray%7D%7Bccc%7D+++%28a_%7B11%7D+-+%5Clambda%29x_1+%2B+a_%7B12%7Dx_2+%2B+%5Ccdots+%2B+a_%7B1n%7Dx_n+%26+%3D+%26+0+%5C%5C+++a_%7B21%7Dx_1+%2B+%28a_%7B22%7D+-+%5Clambda%29x_2+%2B+%5Ccdots+%2B+a_%7B2n%7Dx_n+%26+%3D+%26+0+%5C%5C+++%5Ccdots%5Ccdots%5Ccdots%5Ccdots%5Ccdots%5Ccdots%5Ccdots%5Ccdots%5Ccdots%5Ccdots%5Ccdots+%26+%3D+%26+0+%5C%5C+++a_%7Bn1%7Dx_1+%2B+a_%7Bn2%7Dx_2+%2B+%5Ccdots+%2B+%28a_%7Bnn%7D+-+%5Clambda%29x_n+%26+%3D+%26+0++++%5Cend%7Barray%7D%5Cright%5C%7D+%5Ccdots%2823%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\left. \\begin{array}{ccc}   (a_{11} - \\lambda)x_1 + a_{12}x_2 + \\cdots + a_{1n}x_n &amp; = &amp; 0 \\\\   a_{21}x_1 + (a_{22} - \\lambda)x_2 + \\cdots + a_{2n}x_n &amp; = &amp; 0 \\\\   \\cdots\\cdots\\cdots\\cdots\\cdots\\cdots\\cdots\\cdots\\cdots\\cdots\\cdots &amp; = &amp; 0 \\\\   a_{n1}x_1 + a_{n2}x_2 + \\cdots + (a_{nn} - \\lambda)x_n &amp; = &amp; 0    \\end{array}\\right\\} \\cdots(23)' title='\\displaystyle \\left. \\begin{array}{ccc}   (a_{11} - \\lambda)x_1 + a_{12}x_2 + \\cdots + a_{1n}x_n &amp; = &amp; 0 \\\\   a_{21}x_1 + (a_{22} - \\lambda)x_2 + \\cdots + a_{2n}x_n &amp; = &amp; 0 \\\\   \\cdots\\cdots\\cdots\\cdots\\cdots\\cdots\\cdots\\cdots\\cdots\\cdots\\cdots &amp; = &amp; 0 \\\\   a_{n1}x_1 + a_{n2}x_2 + \\cdots + (a_{nn} - \\lambda)x_n &amp; = &amp; 0    \\end{array}\\right\\} \\cdots(23)' class='latex' \/><\/p>\n<p>\u3000\u65b9\u7a0b\u5f0f (23) \u306f\u4ee5\u4e0b\u306e\u5834\u5408\u306b\u306e\u307f\u975e\u81ea\u660e\u89e3\u304c\u5b58\u5728\u3057\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+++%5Cleft%7C+%5Cbegin%7Barray%7D%7Bcccc%7D+++a_%7B11%7D+-+%5Clambda+%26+a_%7B12%7D+%26+%5Ccdots+%26+a_%7B1n%7D+%5C%5C+++a_%7B21%7D+%26+a_%7B22%7D+-+%5Clambda+%26+%5Ccdots+%26+a_%7B2n%7D+%5C%5C+++%5Ccdots+%26+%5Ccdots+%26+%5Ccdots+%26+%5Ccdots+%5C%5C+++a_%7Bn1%7D+%26+a_%7Bn2%7D+%26+%5Ccdots+%26+a_%7Bnn%7D+-+%5Clambda++++%5Cend%7Barray%7D+%5Cright%7C+%3D+0+%5Ccdots%2824%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle   \\left| \\begin{array}{cccc}   a_{11} - \\lambda &amp; a_{12} &amp; \\cdots &amp; a_{1n} \\\\   a_{21} &amp; a_{22} - \\lambda &amp; \\cdots &amp; a_{2n} \\\\   \\cdots &amp; \\cdots &amp; \\cdots &amp; \\cdots \\\\   a_{n1} &amp; a_{n2} &amp; \\cdots &amp; a_{nn} - \\lambda    \\end{array} \\right| = 0 \\cdots(24)' title='\\displaystyle   \\left| \\begin{array}{cccc}   a_{11} - \\lambda &amp; a_{12} &amp; \\cdots &amp; a_{1n} \\\\   a_{21} &amp; a_{22} - \\lambda &amp; \\cdots &amp; a_{2n} \\\\   \\cdots &amp; \\cdots &amp; \\cdots &amp; \\cdots \\\\   a_{n1} &amp; a_{n2} &amp; \\cdots &amp; a_{nn} - \\lambda    \\end{array} \\right| = 0 \\cdots(24)' class='latex' \/><\/p>\n<p>\u3053\u308c\u306f <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Clambda&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\lambda' title='\\lambda' class='latex' \/> \u306b\u304a\u3051\u308b <em>n<\/em> \u6b21\u591a\u9805\u5f0f\u3067\u3059\uff0e\u3053\u306e\u65b9\u7a0b\u5f0f\u306e\u6839\u306f\u884c\u5217 <img src='https:\/\/s0.wp.com\/latex.php?latex=A&#038;bg=T&#038;fg=000000&#038;s=0' alt='A' title='A' class='latex' \/> \u306e <em>\u56fa\u6709\u5024<\/em> \u307e\u305f\u306f <em>\u7279\u6027\u5024<\/em> \u3068\u547c\u3073\u307e\u3059\uff0e\u5404\u3005\u306e\u56fa\u6709\u5024\u306b\u5bfe\u5fdc\u3057\u3066 <img src='https:\/\/s0.wp.com\/latex.php?latex=X+%5Cne+0&#038;bg=T&#038;fg=000000&#038;s=0' alt='X \\ne 0' title='X \\ne 0' class='latex' \/> \u306a\u308b\u89e3\uff0c\u3059\u306a\u308f\u3061\u975e\u81ea\u660e\u89e3\u304c\u5b58\u5728\u3057\uff0c\u305d\u308c\u3089\u3092\u56fa\u6709\u5024\u306b\u5c5e\u3059\u308b <em>\u56fa\u6709\u30d9\u30af\u30c8\u30eb<\/em> \u307e\u305f\u306f <em>\u7279\u6027\u30d9\u30af\u30c8\u30eb<\/em> \u3068\u547c\u3073\u307e\u3059\uff0e\u65b9\u7a0b\u5f0f (24) \u306f\u307e\u305f\u3053\u306e\u3088\u3046\u306b\u3082\u8a18\u8ff0\u3067\u304d\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdet%28A+-+%5Clambda+I%29+%3D+0+%5Ccdots%2825%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\det(A - \\lambda I) = 0 \\cdots(25)' title='\\det(A - \\lambda I) = 0 \\cdots(25)' class='latex' \/><\/p>\n<p>\u307e\u305f <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Clambda&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\lambda' title='\\lambda' class='latex' \/> \u306b\u304a\u3051\u308b\u65b9\u7a0b\u5f0f\u306f\u3057\u3070\u3057\u3070 <em>\u7279\u6027\u65b9\u7a0b\u5f0f<\/em> \u3068\u547c\u3073\u307e\u3059\uff0e<\/p>\n<p><iframe src=\"\/\/rcm-fe.amazon-adsystem.com\/e\/cm?lt1=_blank&#038;bc1=000000&#038;IS2=1&#038;bg1=FFFFFF&#038;fc1=000000&#038;lc1=0000FF&#038;t=fujiitoshiki-22&#038;o=9&#038;p=8&#038;l=as4&#038;m=amazon&#038;f=ifr&#038;ref=ss_til&#038;asins=0071635408\" style=\"width:120px;height:240px;\" scrolling=\"no\" marginwidth=\"0\" marginheight=\"0\" frameborder=\"0\"><\/iframe><\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u3000 \u3092 \u884c\u5217\u3068\u3057 \u3092\u5217\u30d9\u30af\u30c8\u30eb\u3068\u3057\u307e\u3057\u3087\u3046\uff0e\u4ee5\u4e0b\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066 \u3053\u3053\u3067 \u306f\u6570\u3067\u3042\u308a\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a18\u8ff0\u3067\u304d\u307e\u3059\uff0e \u3042\u308b\u3044\u306f \u3000\u65b9\u7a0b\u5f0f (23) \u306f\u4ee5\u4e0b\u306e\u5834\u5408\u306b\u306e\u307f\u975e\u81ea\u660e\u89e3\u304c\u5b58\u5728\u3057\u307e\u3059\uff0e \u3053\u308c\u306f \u306b\u304a\u3051\u308b n \u6b21\u591a\u9805\u5f0f\u3067\u3059\uff0e &hellip; <a href=\"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=5456\" class=\"more-link\"><span class=\"screen-reader-text\">&#8220;\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb&#8221; \u306e<\/span>\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":6040,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[9],"tags":[],"class_list":["post-5456","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/5456","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5456"}],"version-history":[{"count":3,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/5456\/revisions"}],"predecessor-version":[{"id":6763,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/5456\/revisions\/6763"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/media\/6040"}],"wp:attachment":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5456"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5456"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5456"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}